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Finding the Fourth Proportional to 434.57, 599.91 and 295.41

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Solution

The fourth proportional to 434.57, 599.91 and 295.41 is: 407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.57 : 599.91 = 295.41 : x
  2. Step 2: Convert to fraction form
    434.57/599.91 = 295.41/x
  3. Step 3: Cross multiply
    434.57x = 599.91 × 295.41
  4. Step 4: Simplify right side
    434.57x = 177,219.41
  5. Step 5: Solve for x
    x = 177,219.41/434.57
  6. Step 6: Final answer
    x = 407.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.